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Finding the Fourth Proportional to 13,281.98, 19,918.32 and 3,919.50

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Solution

The fourth proportional to 13,281.98, 19,918.32 and 3,919.50 is: 5,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.98 : 19,918.32 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    13,281.98/19,918.32 = 3,919.50/x
  3. Step 3: Cross multiply
    13,281.98x = 19,918.32 × 3,919.50
  4. Step 4: Simplify right side
    13,281.98x = 78,069,905.04
  5. Step 5: Solve for x
    x = 78,069,905.04/13,281.98
  6. Step 6: Final answer
    x = 5,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.